Harga 3kg mangga. 2k jeruk, dan 1kg anggur = Rp 85.000 Harga 2kg jeruk, 2kg anggur= Rp 74.000 Harga 2kg mangga, 3kg Anggur = Rp 99.000 Maka Harga 1kg mangga, 1kg jeruk, dan 4kg anggur adalah.. Tolong bantu..

<p>Jawaban yang tepat adalah</p><ul><li>Harga 1 kg jeruk dan 4 kg anggur &nbsp;adalah <strong>Rp. 103.000</strong></li></ul><p>&nbsp;</p><p>Pembahasan :</p><p>Misalkan</p><ul><li>Mangga = m</li><li>Jeruk = j</li><li>Anggur = a</li></ul><p>&nbsp;</p><p>3m + 2j + a = 85.000 &nbsp; &nbsp; (1)</p><p>&nbsp;</p><p>2j + 2a = 74.000</p><p>2(j + a) = 74.000</p><p>j + a = 74.000/2</p><p>j + a = 37.000 &nbsp; &nbsp; --&gt; j = 37.000 - a &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; (2)</p><p>&nbsp;</p><p>2m + 3a = 99.000 &nbsp; &nbsp; &nbsp; &nbsp; (3)</p><p>Substitusikan persamaan (2) ke persamaan (1)</p><p>3m + 2j + a = 85.000&nbsp;</p><p>3m + 2(37.000 - a) + a = 85.000&nbsp;</p><p>3m + 74.000 - 2a + a = 85.000</p><p>3m - a = 85.000 - 74.000</p><p>3m - a = 11.000 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; (4)</p><p>&nbsp;</p><p>Eliminasi variabel a dari persamaan (3) dan (4)</p><p>2m + 3a = 99.000 &nbsp; |x 1| &nbsp;--&gt; 2m + 3a = 99.000</p><p>3m - a = 11.000 &nbsp; &nbsp; &nbsp;| x 3| &nbsp;--&gt; <u>9m - 3a = 33.000 &nbsp;</u> +</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;11m &nbsp; &nbsp; &nbsp; = 132.000</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; m = 132.000/11</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; m = 12.000</p><p>Substitusikan m = 12.000 ke persamaan (4)</p><p>3m - a = 11.000&nbsp;</p><p>3(11.000) - a = 11.000&nbsp;</p><p>33.000 - a = 11.000</p><p>a = 33.000 - 11.000</p><p>&nbsp; &nbsp; = 22.000</p><p>Sunbstitusikan a = 22.000 ke persamaan (2)</p><p>j = 37.000 - a&nbsp;</p><p>j = 37.000 - 22.000</p><p>&nbsp; &nbsp;= 15.000</p><p>berarti harga :</p><ul><li>1 kg mangga = Rp. 12.000 &nbsp;</li><li>1 kg anggur = Rp. 22.000</li><li>1 kg jeruk = Rp. 15.000</li></ul><p>&nbsp;</p><p>Mencari harga 1kg jeruk dan 4 kg anggur</p><p>j + 4a = Rp. 15.000 + 4(22.000)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = Rp. 15.000 + Rp. 88.000</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = Rp. &nbsp;103.000</p><p>Jadi, harga 1 kg jeruk dan 4 kg anggur &nbsp;adalah Rp. 103.000</p><p>&nbsp;</p>